Solution Found!
Answer: Interval and radius of convergence Determine the
Chapter 8, Problem 11E(choose chapter or problem)
QUESTION:
Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.
\(\sum \frac{x^{k}}{k^{k}}\)
Questions & Answers
QUESTION:
Interval and radius of convergence Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of convergence.
\(\sum \frac{x^{k}}{k^{k}}\)
ANSWER:Solution 11E
Step 1:
Given series is and
To determine the radius of convergence we use ratio test which states:
The ratio test states that:
a. If